153676544256 has 81 divisors (see below), whose sum is σ = 443141622651. Its totient is φ = 51219242496.

The previous prime is 153676544251. The next prime is 153676544339. The reversal of 153676544256 is 652445676351.

The square root of 153676544256 is 392016.

It is a perfect power (a square), and thus also a powerful number.

153676544256 is a `hidden beast` number, since 1 + 5 + 3 + 6 + 76 + 544 + 25 + 6 = 666.

153676544256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×153676544256³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (153676544251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18812685 + ... + 18820851.

Almost surely, 2^153676544256 is an apocalyptic number.

153676544256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

153676544256 is the 392016-th square number.

It is an amenable number.

153676544256 is an abundant number, since it is smaller than the sum of its proper divisors (289465078395).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

153676544256 is an frugal number, since it uses more digits than its factorization.

153676544256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16356 (or 8172 counting only the distinct ones).

The product of its digits is 18144000, while the sum is 54.

The spelling of 153676544256 in words is "one hundred fifty-three billion, six hundred seventy-six million, five hundred forty-four thousand, two hundred fifty-six".